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4023632512 = 272313110433
BaseRepresentation
bin1110111111010011…
…1100001010000000
3101101102011201011101
43233310330022000
531220022220022
61503132224144
7201465212014
oct35764741200
911342151141
104023632512
111785265729
1294360b054
134c17a7353
142a2546544
15188392627
hexefd3c280

4023632512 has 64 divisors (see below), whose sum is σ = 8429002560. Its totient is φ = 1909473280.

The previous prime is 4023632477. The next prime is 4023632531. The reversal of 4023632512 is 2152363204.

4023632512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380448 + ... + 390880.

It is an arithmetic number, because the mean of its divisors is an integer number (131703165).

Almost surely, 24023632512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023632512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214501280).

4023632512 is an abundant number, since it is smaller than the sum of its proper divisors (4405370048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4023632512 is a wasteful number, since it uses less digits than its factorization.

4023632512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10601 (or 10589 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4023632512 is about 63432.1094714656. The cubic root of 4023632512 is about 1590.5211049883.

Adding to 4023632512 its reverse (2152363204), we get a palindrome (6175995716).

The spelling of 4023632512 in words is "four billion, twenty-three million, six hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 131 184 262 368 524 736 1048 1472 2096 2944 3013 4192 6026 8384 10433 12052 16768 20866 24104 41732 48208 83464 96416 166928 192832 239959 333856 385664 479918 667712 959836 1335424 1366723 1919672 2733446 3839344 5466892 7678688 10933784 15357376 21867568 30714752 31434629 43735136 62869258 87470272 125738516 174940544 251477032 502954064 1005908128 2011816256 4023632512